179
7
On the GILTT
Formulation for Pollutant
Dispersion Simulation
in the Atmospheric
Boundary Layer
Davidson Martins Moreira, Marco Túllio
M. B. de Vilhena, and Daniela Buske
CONTENTS
7.1 Introduction .................................................................................................. 179
7.2 The Advection–Diffusion Equation and the GILTT Method ....................... 180
7.3 Particular Solutions ....................................................................................... 188
7.3.1 Time-Dependent Fickian Flow Model .............................................. 188
7.3.2 Time-Dependent Fickian Flow without
Longitudinal Diffusion ..................................................................... 189
7.3.3 Stationary Fickian Flow Problems ................................................... 189
7.3.4 Approximated Three-Dimensional GILTT Solution ........................ 189
7.4 Turbulent Parameterizations and Dispersion Diffusion Experiments .......... 190
7.5 Applications .................................................................................................. 192
7.5.1 Copenhagen Experiment Results ...................................................... 193
7.5.2 Prairie-Grass Experiment Results .................................................... 194
7.5.3 IIT Experiment Results .................................................................... 195
7.5.4 Case Study: Simulation of Radioactive Pollutant Using Large
Eddy Simulations (LES) ................................................................... 195
7.6 Future GILTT Perspectives .......................................................................... 197
References .............................................................................................................. 198
7.1 INTRODUCTION
In the last years, special attention has been given to the issue of searching analytical solutions for the advection–diffusion equation in order to simulate the pollutant
dispersion in the atmospheric boundary layer (ABL). We must recall that the solution
© 2010 by Taylor and Francis Group, LLC
7
On the GILTT
Formulation for Pollutant
Dispersion Simulation
in the Atmospheric
Boundary Layer
Davidson Martins Moreira, Marco Túllio
M. B. de Vilhena, and Daniela Buske
CONTENTS
7.1 Introduction .................................................................................................. 179
7.2 The Advection–Diffusion Equation and the GILTT Method ....................... 180
7.3 Particular Solutions ....................................................................................... 188
7.3.1 Time-Dependent Fickian Flow Model .............................................. 188
7.3.2 Time-Dependent Fickian Flow without
Longitudinal Diffusion ..................................................................... 189
7.3.3 Stationary Fickian Flow Problems ................................................... 189
7.3.4 Approximated Three-Dimensional GILTT Solution ........................ 189
7.4 Turbulent Parameterizations and Dispersion Diffusion Experiments .......... 190
7.5 Applications .................................................................................................. 192
7.5.1 Copenhagen Experiment Results ...................................................... 193
7.5.2 Prairie-Grass Experiment Results .................................................... 194
7.5.3 IIT Experiment Results .................................................................... 195
7.5.4 Case Study: Simulation of Radioactive Pollutant Using Large
Eddy Simulations (LES) ................................................................... 195
7.6 Future GILTT Perspectives .......................................................................... 197
References .............................................................................................................. 198
7.1 INTRODUCTION
In the last years, special attention has been given to the issue of searching analytical solutions for the advection–diffusion equation in order to simulate the pollutant
dispersion in the atmospheric boundary layer (ABL). We must recall that the solution
© 2010 by Taylor and Francis Group, LLC